Shapes & Designs

Question 1

Polygon

Answer 1

A closed figure made up of three or more line segments that only intersect at the vertices.

Question 2

Regular Polygon

Answer 2

A polygon with all sides of the same length and all the angles are the same.

Question 3

Irregular Polygon

Answer 3

A polygon that does not have equal sides and equal angles.

Question 4

Complementary Angles

Answer 4

Two angles whose sum is 90 degrees.

Question 5

Supplementary Angles

Answer 5

Two angles whose sum is 180 degrees.

Question 6

Parallel lines

Answer 6

Two lines which will never intersect (cross).

Question 7

Parallelogram

Answer 7

A quadrilateral with two sets of parallel lines.

Question 8

Transversal

Answer 8

A line segment that cuts across two or more line segments.

Question 9

Interior Angles

Answer 9

The inside angles of a polygon. (n-2) x 180

Question 10

Reflectional Symmetry

Answer 10

a shape with reflectional symmetry has halves that are mirror images of one another.

Question 11

Rotational Symmetry

Answer 11

A shape with rotational symmetry can be turned about a center point through some angle between 0 and 360 degrees and it will look exactly the same.

Question 12

Tiling/Tessellation

Answer 12

The covering of a plane surface with geometric shapes without gaps or overlaps.

Question 13

Trapezoid

Answer 13

A quadrilateral with only one set of parallel lines.

Question 14

Vertical Angles

Answer 14

A pair of congruent, non-adjacent angles formed by the intersection of two lines.

Question 15

Rhombus

Answer 15

A quadrilateral with all sides the same length.

Question 16

Exterior Angle

Answer 16

The outside angles of a polygon formed by one side and an extension of the other side.

Question 17

What is the angle sum of a triangle?

Answer 17

180 degrees

Question 18

What is the angle sum of a quadrilateral?

Answer 18

360 degrees

Question 19

What is the angle sum of a pentagon?

Answer 19

540 degrees

Question 20

What is the angle sum of a hexagon?

Answer 20

720 degrees

Question 21

What is the formula for finding the angle sum of any polygon?

Answer 21

(n-2) x 180

Question 22

Obtuse Angle

Answer 22

Measures more than 90 and less than 180 degrees

Question 23

Acute Angle

Answer 23

Measures more than 0 and less than 90 degrees

Question 24

Right Angle

Answer 24

Measures exactly 90 degrees

Question 25

What do one set of Interior and Exterior Angles of any shape always add to?

Answer 25

180 degrees

Question 26

What do all the exterior angles of a polygon add to?

Answer 26

360 degrees (1 full turn)

Question 27

What has to be true of three sides lengths in order to make a triangle?

Answer 27

The sum of the two shortest sides must be larger than the third side.

Question 28

What has to be true for 4 side lengths to make a quadrilateral?

Answer 28

The sum of the three shorter sides must be greater than the fourth side.

Question 29

What do adjacent angles in a parallelogram always add to?

Answer 29

180 degrees

Question 30

Opposite angles in a parallelogram are always?

Answer 30

equal.